Find the standard equation of the parabola with a vertex of (0, 0) and a directrix x = 2.
Use x - h = 1/4p(y - h)^2; directrix: x = h - p
x = -1/8y^2
100
Graph the equation: y + 3 = 1/4(x + 1)^2
V(-1, -3), choose numbers for x
100
Find the standard equation of the circle with a radius of 1 and its center at (0, 0). Use: (x - h)^2 + (y - k)^2 = r^2.
X^2 + y^2 = 1
100
Graph the circle with a center (0, 0) and radius: 2.
Draw by hand.
100
Use the equation x^2 + y^2 = 16 to determine if point (0, 4) is inside, outside, or on the circle.
On the circle.
200
Find the standard equation of the parabola with its vertex at (0, 0) and directrix y = 10.
Use: y - k = 1/4p(x - h)^2; directrix: y = k - p
y = -1/40x^2
200
Graph the equation: y - 4 = 2(x + 2)^2
Vertex (-2, 4), choose numbers for x.
200
Find the standard equation of the circle with a radius of 2 and its center at (3, 4). Use (x - h)^2 + (y - k)^2 = r^2.
(X - 3)^2 + (y - 4)^2 = 4
200
Graph the circle with a center (3, -2), and radius: 4.
Daw by hand.
200
Use the equation (x + 1)^2 + (y - 4)^2 = 10 to determine if the point (3, -5) is inside, outside, or on the circle.
Outside the circle.
300
Find the standard equation of the parabola with its vertex at (3, 2) and focus (3, 6).
Use y - k = 1/4p(x - h)^2; focus (h, k + p)
y - 2 = 1/16(x - 3)^2
300
Graph the equation: x - 1 = -1/8(y + 3)^2
Vertex (1, -3), choose numbers for y.
300
Find the standard equation of the circle with a radius of 6 and its center at (-2, -4). Use (x - h)^2 + (y - k)^2 = r^2.
(x + 2)^2 + (y + 4)^2 = 36
300
Graph the circle formed by the equation: x^2 + y^2 = 1
center (0, 0), radius = 1
300
Use the equation (x + 3)^2 + (y - 10)^2 = 20 to determine if the point (-3, -3) is inside, outside, or on the circle.
Outside the circle.
400
Find the standard equation of the parabola with its vertex at (-3, 4) and focus (2, 4).
Use x - h = 1/4p(y - k)^2; focus (h + p, k)
x + 3 = 1/20(y - 4)^2
400
Graph the equation: x + 4 = -1/2(y + 6)^2
Vertex (-4, -6), choose numbers for y.
400
Write x^2 + 2x + y^2 + 6y = 1 in standard form.
(X + 1)^2 + (y + 3)^2 = 11
400
Graph the circle formed by the equation (x - 2)^2 + y^2 = 4.
Center (2, 0), radius = 2.
400
Use the equation (x + 4)^2 + (y + 6)^2 = 25 to determine if the point (-5, -5) is inside, outside, or on the circle.
Inside the circle.
500
Write y^2 + 4y + x = 10 in standard form.
X - 14 = -(y + 2)^2
500
Determine the vertex of the equation: y^2 + 10y - x = 6.
Vertex (-31, -5)
500
Write x^2 - 4x + y^2 - 10y = -4 in standard form.
(X - 2)^2 + (y - 5)^2 = 25
500
Graph the circle formed by the equation (x + 3)^2 + (y - 1)^2 = 9
Center (-3, 1), radius = 3
500
A civil defense system broadcasts an emergency signal within a circular area with a radius of 100 miles. If you live 85 miles south and 15 miles east of the broadcasting tower, will you be able to receive the signal?